Let $$p(x) = x^3-3x^2-2x+1.$$
$p(-2)$ can be computed via synthetic division by filling in for the letters $a$ through $g$ in the table $$\begin{array}{cccc} 1 & -3 & -2 & 1 \\ & b & d & f \\ a & c & e & g \\ \end{array}$$ where
$=a$,
$=b$,
$=c$,
$=d$,
$=e$,
$=f$,
$=g$.
Moreover, $p(-2) =$ and $p(x)$ can be written as $$p(x) = (x+2)q(x) + r$$ where
$q(x) =$ is a quadratic polynomial and
$r=$ is a real number.